{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "673bf1e4-405b-4269-92be-e09c94061f2d",
   "metadata": {},
   "source": [
    "# 四、风格和样式"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dc180cc2-b19e-4f73-9b54-dcda5678a285",
   "metadata": {},
   "source": [
    "## （1）颜色、线型、点型、线宽、透明度"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "c294f6fa-417e-497c-8420-dd9fbb1ef2ee",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "704f99ff-491f-4588-8d07-12a87bc3f3d3",
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.linspace(0, 2*np.pi, num=20)\n",
    "y1 = np.sin(x)\n",
    "y2 = np.cos(x)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "112a6a4f-2a9a-43d3-a259-52f1d8f6adb9",
   "metadata": {},
   "source": [
    "常用参数\n",
    "- x: 指定 x 轴的数据点。\n",
    "- y: 指定 y 轴的数据点。\n",
    "- fmt: 一个格式化字符串，用于指定线条的颜色、标记点的形状和线型。例如 'ro-' 表示使用红色圆圈标记点，并以实线连接这些点。\n",
    "- label: 给图例添加标签，方便识别不同数据集。\n",
    "- color 或 c: 指定线条的颜色。\n",
    "- linewidth 或 lw: 设置线条的宽度。\n",
    "- linestyle 或 ls: 设置线条的样式，如实线、虚线等。\n",
    "- marker: 指定数据点的标记样式。\n",
    "- markersize 或 ms: 设置标记点的大小。\n",
    "- alpha: 设置线条的透明度，值为 0 到 1 之间。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "51adfe16-856b-4584-b769-20651673a0b7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, y1, color='indigo', ls='-.', marker='p')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "720830fe-f1f2-4857-a44c-5383dc734d23",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1ca034acaf0>]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, y2, color='#FF00FF', ls='--', marker='o', ms=16)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "020f719f-1217-427a-b63d-d98854cefe86",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1ca05862aa0>]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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/M5qMcFe5Q5IkyLKMOnMdNGqN1b4/2dePpT8ic38m5sTPQXJIsug4REQOwZb3wpbcv23a8pKTk4PExEQkJiYCAGbNmoXExETMmTMHAFBcXIyCggLL+bGxsVizZg02btyI+Ph4/OMf/8AHH3zQ7MLFljRqDSRJAnB52jcLF8e24+wOlNaUIutY4+OZiIjosrKaMsuflXIvtNs6L/Ziq5YXci7V9dX49PineKjdQ/BQeyBPn4f5h+ZjRucZ6OLfRXQ8IiJFMBgNuHPznegR0APzEufZdMNbxbS8ECmVl5sXHuv4GDzUHgCUsWIkEZHS7L2wF5dMl3C25ix83ZXTIMBpF+Syrlwxck3RGgDA+jPrMSpqFFdPJiICMDhsML4Z/A0MdQaoJOW0d7DbiFxWr9W9rnsOV08mIrIPdhsRNYPSVowkIlKKspqyBgN1lYbFC7ksrp5MRNS4d/LfQdoPaVhVuEp0lEaxeCHC5ZUir/xKROSq6s31KKwqRI2pBm192oqO0ygO2CWX9vvqyToPHcZEj8E3J79BSU0JV08mIpflpnLDB/0+wEH9QXT17yo6TqNYvJBL03nqsOq2VXBXueN45XH8/cDf4Sa5Qau2z35ZRERKJEkSugV0Ex2jSew2Ipf3+4qRbb3boq1PW3Ty7wS9US86FhGR3W0v3Y56c73oGNfFlhei/5IkCQv7LISPu49l+WsiIleRU5aDp3c/jbY+bfHZwM8abGSrNMpNRiSAr4ZrAxGRa9Ib9fDX+CMpMEnRhQvA4oWoUXXmOqwpWoMhYUPgp/ETHYeIyOZSIlLQN7Qvu42IHNVzOc9h+9ntKL5UjGmdpomOQ0RkF63cWomO0CwcsEvUiNFRoy1TqImInNnust04UH5AdIwWYcsLUSMGhw1Gv9B+ll2niYicUb25Hi/vexlF1UXI7JmJ2yNuFx2pWVi8EDVCJalYuBCR07tkuoSEwATUmGrQP7S/6DjNxuKF6Dr2le/DmeozGN56uOgoRERW5ePug78m/BXV9dXwcvMSHafZWLwQXUNOWQ6m7pwKbzdv9A/tDx93H9GRiIiszpEKF4ADdomuqWdQT3Ty7YSh4UNRZ64THYeIyCoq6yqxIH+Bw64mzpYXomtQSSpkDchS/IJNREQt8enxT/HR0Y+wq2wXsgZkiY7TYmx5IboOFi5E5GziA+PR0bcjHmr7kOgoN4T/KxM1U1lNGb448QUmtp8Ib3dv0XGIiG5Yn5A+6B3cGxIccx83Fi9EzfT07qdxqOIQPNw88GiHR0XHISK6KSrJcTtfHDc5kZ2Nbzse3fy7oUdAD9FRiIhuyOIji7G2aC1Mskl0lJvClheiZroj4g7cEXEHJMkxm1mJyLUVVBbg37/9GybZhOhW0egW0E10pBvG4oWomVi0EJEjC/EIwbRO03Ds4jGHLlwAFi9ELVZvrsfa02thls1Ii04THYeIqFk83Twxsf1E0TGsgsULUQttKdmCeb/Og5+7H26PuN1htpAnInIWHLBL1EJDwocgMTARk9pPglpSi45DRHRNv174FU/vehpHDEdER7EatrwQtZBaUmNx38UcA0NEDmHR4UXYfX43grRBeCH+BdFxrIItL0Q3gIULETmK2d1nI7V1Kh7t6DzrU7F4IboJB8oP4Pm9z6O6vlp0FCKiRsV4xyAjMQNhnmGio1gNixeiG2SWzXjxlxex4cwGfH3ya9FxiIgaMMtm0RFshsUL0Q1SSSo81vExjIochSFhQ0THISKyMMkmTPxxIhYeXoiq+irRcayOA3aJbsKIyBEYETlCdAwiIos8fR5eyn0JxyqP4XT1aYfdOfpaWLwQERE5kTVFa3Cs8hgGhA7A7RG3w9vdW3Qkq2O3EZEVlNeWY/6h+Rz7QkRCFFcX45D+EPIr8rHhzAYAwEH9QbTzaYdD+kMori4WnNC62PJCZAXbSrfh42MfI1ATiNFRo+Gh9hAdiYhcyOjNo686Vm4sx/jt4y3Pc0bl2DOSTbHlhcgKRkaOxJCwIXgx/kVoVVrRcYjIxWQkZDS54rdaUiMjIcPOiWxLkmVZFh3CmgwGA/z8/FBRUQFfX1/RcYiIiOwivyK/QUvL75YOXIo4vzgBiVqmJfdvtrwQERE5IQnOuxI4ixciKzLJJqwtWospP01BjalGdBwiciEBmgAEaYPQxa8L0runo7NfZwRpgxCgCRAdzerYbURkRXXmOtz1w10ovlSMZ7s+i3Gx40RHIiIXYJbNUEkqGE1GuKvcIUkSZFlGnbkOGrVGdLxmacn9m7ONiKzIXeWO6XHTUXKpBKOjrh79T0RkC5n7M6E36vF4x8fR3rc9gMsbyDpK4dJSLF6IrGx46+GiIxCRC7lYdxFritbAaDbioXbOt5puY1i8ENmYLMuQJOcdOEdEYvm4++CTgZ9gS8kW9AjoITqOXbB4IbKRI4YjeO/we0gOSca9be4VHYeInFg7n3Zo59NOdAy74WwjIhvZd2EftpZuxQdHPsDj2Y8jT58nOhIRORknm3PTbHYpXhYsWIA2bdrAw8MDycnJ2LVrV5PnLlmyBJIkNXh4eHCpdXI8d0bdibExY5Eckow95/dgbdFa0ZGIyImYZTMe/elRLMhfgIt1F0XHsSubFy9ffvklZs2ahblz52Lv3r2Ij4/HsGHDcPbs2Sav8fX1RXFxseVx6tQpW8cksqri6mIcu3gMY6LHYOe5nQCA9WfWI78i3yk3SSMi+9tVtgu/lv+Kr05+5dQL0jXG5uu8JCcn45ZbbsE777wDADCbzYiKisKTTz6J2bNnX3X+kiVLMHPmTOj1+ht6P67zQkrQa3Wv657jTJukEZH9mWQTtpdux/na87g75m7RcW6aYrYHMBqN2LNnD1JSUv54Q5UKKSkpyM7ObvK6yspKxMTEICoqCmPGjMHBgwebPLe2thYGg6HBg0g0V9skjYjsTy2pMThssFMULi1l0+KlrKwMJpMJOp2uwXGdToeSkpJGr+nUqRM+/PBDrFixAkuXLoXZbEa/fv1QVFTU6PmZmZnw8/OzPKKioqz+cxC1VGpkKrIGZDX6WtaALKRGpto5ERGR81DcbKO+ffvi4YcfRkJCAgYNGoTvvvsOISEheO+99xo9Pz09HRUVFZZHYWGhnRMTXdvvfdGu1idNRLZRVlOGh7c/jNVFq112tpFN13kJDg6GWq1GaWlpg+OlpaUICwtr1vdwd3dHYmIijh492ujrWq0WWq32prMSWdvvm6TpPHQYEz0GKwpWoLSm1Ck3SSMi+/n61NfIq8jD8oLlGBU5SnQcIWxavGg0GiQlJWHTpk1IS0sDcHnA7qZNm/DEE08063uYTCbs378fI0aMsGFSIuvTeeqw6rZVlk3S7oq+y6E2SSMiZXog9gF4qj3RybeT6CjC2LzbaNasWXj//feRlZWFQ4cOYdq0aaiqqsKkSZMAAA8//DDS09Mt58+bNw8bNmzA8ePHsXfvXowfPx6nTp3Co48+auuoRFanUWssWwOYYcb6M+vxyI5HXG5NBiKyHj+NHya2n4i+oX1FRxHG5tsD3HfffTh37hzmzJmDkpISJCQkYN26dZZBvAUFBVCp/qihysvL8dhjj6GkpAQBAQFISkrCTz/9hC5dutg6KpFNqaDCJ8c/wfGLx7GicAXGtx0vOhIRkUOy+Tov9sZ1XkjJvj/zPU5Xn0ZadBr8NH6i4xCRA/mx9EesKVqD8e3Go6t/V9FxrK4l929uzEhkRykRKdc/iYioEZ8c/wR7zu9BuFe4UxYvLaG4qdJERER0tWe7PovRkaNxX5v7REcRjsULkQD7yvchfU868ivyRUchIgfRwbcD5ibMhc5Td/2TnRyLFyIBvjrxFTYWb8TnJz4XHYWIyOFwzAuRAPe3vR8atQb3x94vOgoRKdySo0tQY6rB2DZjEaQNEh1HEVi8EAnQ1b+ryw+4I6Lrq66vRtaxLFysu4jOfp0xKGyQ6EiKwOKFiIhIoTQqDf7S/S/YXLIZA3UDRcdRDBYvRAKdqzmHb059gw4+HTiNmoiu4qZyQ0pECv9/+B8csEsk0Nqitfj3b//Gh0c/dNndYYmIWorFC5FAadFp6B3cG5PbT4YMFi9E9IfM/Zn4T9F/UG+uFx1FcdhtRCSQn8YP7/Z5V3QMIlKYg/qD+PbUt1hesBxJQUkI9QwVHUlRWLwQEREpTGuv1pjWaRoMdQYWLo1g8UKkAHXmOmw8sxGGOgPGxY4THYeIBPPX+OORDo+IjqFYLF6IFCCnLAdzcueglVsrjIocBW93b9GRiIgUiwN2iRQgOSQZvYN7Y0K7CZAkSXQcIhKkqr4KL+W+hDx9nugoisaWFyIFUEkqDtwlIqwsWIlVRauwr3wfvhn8DX+ZaQKLFyIiIoXoFdwLI1qPQM+gnixcrkGSnWxlLIPBAD8/P1RUVMDX11d0HKIWO1B+AD+X/czBekTkUlpy/2bLC5GClNWU4ZGfHoFJNuFW3a3o4NtBdCQiIsVh8UKkIMEewbgj4g6oJBU81B6i4xCRnRzUH8SOsztwT8w9CNQGio6jeCxeiBRmXsI89nUTuZhPjn2C74u/R+mlUrwY/6LoOIrH4oVIYVi4ELmelPAUFF8q5iKVzcTihUihzteex6rCVXiw7YNwV7mLjkNENpQSkYKUiBTRMRwGixciBZJlGZN3TMbp6tMI9QjFiMgRoiMRESkGV9glUiBJkjAmagy6+Xfj4D0iJ7bhzAasP70e9eZ60VEcClteiBTq4XYPY3KHyaJjEJGN1JvrMf/QfJRcKkGdXIdRkaNER3IYbHkhUig3FX+3IHJm9XI9xkSNQXuf9rg9/HbRcRwKV9glUrh6cz02FW9CfGA8wjzDRMchIiuTZZmzDNGy+zdbXogUbm7uXPzll7/gyxNfio5CRFaQp8/D1Oyplp2jWbi0HIsXIoVLbZ2KIG0QgjyCREchIitYU7QGOedzsPT4UtFRHBY71YkUrl9oP6y6bRU0ao3oKER0g4qri6E36iFJEtadXgfg8kyj4a2HI0QbAn+NP8K9wgWndBwsXogUTiWpWLgQObjRm0c3enzW7lmWP+eMyrFXHIfHbiMiB5JfkY/8inzRMYiohTISMqCW1I2+ppbUyEjIsHMix8bihchBfHHiC4zfPh5vH3pbdBQiaqHUyFRkDchq9LWsAVlIjUy1cyLHxuKFyEEM1A2ERqVBgCaAq3ESOSCzbAYASJAafKWW45gXIgfR2qs11qWsg6+G6xcROaITlScAXB7H9mzXZ7GqcBVKa0oRoAkQnMzxsHghciAsXIgcV4hHCDr5dkJiYCLGthmLe2LuQZ25jgPybwBX2CVyQHqjHqcqTyE+MF50FCJqAVmWWbA0gSvsEjmxfeX7MPL7kZi9ZzbHvhA5GEmSWLhYAYsXIgcT5xsHb3dvBHsE41zNOdFxiOg6quqrsLl4M3/ZsCKOeSFyMBq1BksHLkWwNph7ohA5gDVFa/D6gdfRO7g33u3zrug4ToHFC5EDCvEIER2BiFrAX+OPQbpBomM4DQ7YJXJg9eZ6rC1ai7Wn12JG5xno4t9FdCQiakStqRYAoFVrBSdRrpbcv9nyQuSgDEYDHtj+AEovlUKGjLVFa1m8ECkUixbr4oBdIgdUXF2M09WnGyxutf7MeuRX5OOQ/hCKq4sFpiMiACi9VIqjhqOiYzgltrwQOaDGdqgtN5Zj/PbxlufcoZZIrKXHl+LzE59jUvtJmB43XXQcp8KWFyIHxB1qiZSvur4aakmNxMBE0VGcDgfsEjmo/Ir8Bi0tv1s6cCni/OIEJCKi/1V6qRQhHiFQSWwruB4O2CVyIRIkyHCq30GInIbOUyc6glOySym4YMECtGnTBh4eHkhOTsauXbuuef7XX3+NuLg4eHh4oHv37li7dq09YhI5lABNAIK0Qejs1xk9A3sCALzUXtyhlkiw09WnYTAaRMdwajZvefnyyy8xa9YsLFq0CMnJyXjrrbcwbNgwHD58GKGhoVed/9NPP+H+++9HZmYmRo0ahc8++wxpaWnYu3cvunXrZuu4RA5D56nDqttWwV3ljnM152CSTQjSBnHfFCLB/n7w79hdthtz4ufgjog7RMdxSjYf85KcnIxbbrkF77zzDgDAbDYjKioKTz75JGbPnn3V+ffddx+qqqqwevVqy7E+ffogISEBixYtuu77ccwLERGJUmuqxaQdk3DEcATfDv4WMd4xoiM5DMXsKm00GrFnzx6kpKT88YYqFVJSUpCdnd3oNdnZ2Q3OB4Bhw4Y1eX5tbS0MBkODB5ErMxgNqDHViI5B5JK0ai0+HfgpPrv1MxYuNmTT4qWsrAwmkwk6XcMBSzqdDiUlJY1eU1JS0qLzMzMz4efnZ3lERUVZJzyRA/rgtw8wYtMIrC5aff2TicgmJElCR9+OomM4NYefu5Weno6KigrLo7CwUHQkImG83bxRY6pBThkXqCOyt5JLJTDJJtExXIJNB+wGBwdDrVajtLS0wfHS0lKEhYU1ek1YWFiLztdqtdBquWcEEQCMihyFjr4duSgWkZ3JsowZP89ArbkWryW9xrWWbMymLS8ajQZJSUnYtGmT5ZjZbMamTZvQt2/fRq/p27dvg/MBYOPGjU2eT0R/8Hb3Rs+gnpAkSXQUIpdyuvo0ymrLcKH2AiK9IkXHcXo2nyo9a9YsTJgwAb169ULv3r3x1ltvoaqqCpMmTQIAPPzww2jdujUyMzMBAE899RQGDRqEf/zjHxg5ciS++OIL5OTkYPHixbaOSuRUTLIJtaZaeLl5iY5C5PQiW0Vibcpa5Ffkw9vdW3Qcp2fz4uW+++7DuXPnMGfOHJSUlCAhIQHr1q2zDMotKCiASvVHA1C/fv3w2Wef4YUXXsDzzz+PDh06YPny5VzjhagFtpRswZt5b+JW3a14puszouMQuQQPtQcSAhNEx3AJ3NuIyAlln83Gk7ueRIRnBJbdtqzJTRyJ6OYZjAb4ani/uVmKWeeFiMRIDknGvIR5+GrwVyxciGzoUv0l/N8P/4fpO6ejvLZcdByXwY0ZiZyQSlJhROQI0TGInN4vF36Boc6A09Wn4afxEx3HZbB4IXIBdeY6uKvcRccgcjr9Qvth+W3LUXqpFCqJnRn2wuKFyIkdNRzFm3lvQi2pMT95vug4RE6ptVdrtPZqLTqGS2HxQuTEPNQe2FW2CypJhXM15xDiESI6EpHTqDXVQqvmIqkisI2LyIlFtorEX3r8Bd8N+Y6FC5EVnak+g2Ebh+GNA29wSwAB2PJC5OTSotNERyByOhvObEBlfSVOVJ7gjD4BWLwQuRCzbOagQiIrmNBuAjr7deYK1oKweCFyAXqjHouPLEbuhVx8MvAT/qZIdJMkSUJySLLoGC6Lv4IRuQCtSov/nP4PjhiOYHfZbtFxiByWLMswy2bRMVweixciF+Dp5olnuj6DBckLkBzM3xaJbtSe83twz5Z7sOzUMtFRXBq7jYhcxKjIUaIjEDm85QXLUVBVgHxDvugoLo3FCxERUTM93+N5xAfG45bgW0RHcWnsNiJyIfXmenxx4gs8sO0BGIwG0XGIHI6XmxfGthmLNt5tREdxaSxeiFyIWlJjRcEKHDEcwcqilaLjEBHdEHYbEbkQSZIwpeMUlNWWYWTkSNFxiBzGioIV2FyyGRPaTUDPoJ6i47g8Fi9ELmZI+BDREYgczpcnv8QRwxH0CurF4kUBWLwQERFdx6s9X8U3p77BnVF3io5C4JgXIpe189xOPLXrKfxm+E10FCLFi/aOxqyus+Cn8RMdhcDihchlLS9Yjh1nd+CLE1+IjkJE1CLsNiJyUQ+0fQAhHiG4t829oqMQKdZHRz/ChdoLuD/2fkR4RYiOQ//F4oXIRfUI6IEeAT1ExyBSrBpTDZYeW4qKugokBSWxeFEQFi9ERESN0Kg0mJc4DxvPbMRA3UDRcegKLF6IXFxRVRG+PPklbgm+BbfqbhUdh0gxVJIK/UP7o39of9FR6H9wwC6Ri1tVtAqfn/gcnxz7RHQUIsXI0+dhavZU5OnzREehRrB4IXJx98TcgwGhAzCp/STIsiw6DpEivLL/FeScz8HKQm6joUTsNiJycSEeIXir91uiYxAJV1xdDL1Rjwu1F5BfkQ8A2HBmA9Ki0yDLMvw1/gj3CheckgAWL0RERACA0ZtHX3XMUGfA+O3jLc9zRuXYMxI1gd1GRAQAuFR/Cd+c/AbLC5aLjkIkREZCBtSSutHX1JIaGQkZdk5ETWHLCxEBALaUbMGrB15FiDYEoyJHwU3F/x7ItaRGpiLWJ7ZBS8vvsgZkIc4vTkAqagxbXogIAJASkYKEwARMaD8BJtkkOg6R3dWZ67AwfyEAQILU4CspC3+1IiIAgLvKHR/0+0B0DCJh1p9Zjx3ndkCChDi/OKRFp2FFwQqU1pQiQBMgOh5dgcULERERgISABNwTcw8iPCPwULuHIEkS7oq+C3XmOmjUGtHx6AqS7GQLOxgMBvj5+aGiogK+vr6i4xA5HFmWkXM+B8cuHsO42HGi4xCRi2jJ/ZstL0TUwBHDEUzbOQ1ukhtSwlMQ7BEsOhIRUQMsXoiogU5+nZAcnIzoVtGioxDZxSH9Iaw7sw73x96PMM8w0XGoGVi8ENFV3kl+B5LEWRbkGj4+9jE2Fm9EeW055iXOEx2HmoFTpYnoKlcWLtygjpzdnVF3oldQL4xvd/X6LqRMbHkhoiYVVxfjzbw38cuFX7C2aC26+HcRHYnI6vqG9kXf0L6iY1ALsHghoqsUVxej5FIJpv88HUazEcDlNTBGRY3iBnVEJByLFyK6SmMb1JUby7lBHTmV7059BwkSRkSOgFatFR2HWoBjXojoKtygjpxdjakG7x5+Fy/vfxnbSreJjkMtxOKFiK6SGpmKrAFZjb6WNSALqZGpdk5EZH2T209Gz8CeGBI2RHQUaiF2GxHRNUmQIMOpFuImgofaAw+0fQAPtH1AdBS6ASxeiKhRAZoABGmDoPPQod5cjyMXj8BD7cEN6ohIOBYvRNQonacOq25bBXeVO3469xNe2fcKJrWfBJ2nTnQ0ohsmyzL+dehfGKQbhITABC7G6KC4MSMRXZcsyzDJJrip+PsOObY95/fg8ezHoVVpsTZlLfw0fqIj0X9xY0YisipJkuAm8b8LcnxhnmH4v+j/g4fag4WLA2PLCxE1myzL2HthLwxGA4aEc4YGEVlPS+7fNp0qfeHCBTz44IPw9fWFv78/HnnkEVRWVl7zmsGDB0OSpAaPqVOn2jImETXT1tKteDz7cbx+4HUYTUbRcYjIRdm0eHnwwQdx8OBBbNy4EatXr8a2bdswZcqU61732GOPobi42PJ4/fXXbRmTiJqpf2h/RHlFYVDYINSYakTHIWq2s5fO4l95/8LZS2dFRyErsFkn9qFDh7Bu3Trs3r0bvXr1AgC8/fbbGDFiBP7+978jIiKiyWu9vLwQFhZmq2hEdIPcVe74evDXHLhLDufzE5/jk+OfIL8iHwv7LhQdh26SzVpesrOz4e/vbylcACAlJQUqlQo///zzNa/99NNPERwcjG7duiE9PR3V1dVNnltbWwuDwdDgQUS2w8KFHFFySDJ6BvbkonROwmb/C5WUlCA0NLThm7m5ITAwECUlJU1e98ADDyAmJgYRERHYt28f/vznP+Pw4cP47rvvGj0/MzMTL730klWzE9H1lVwqwdqitZjYfiJUEncaIWXrE9IHfUL6wMnmqLisFhcvs2fPxmuvvXbNcw4dOnTDga4cE9O9e3eEh4dj6NChOHbsGNq1a3fV+enp6Zg1a5blucFgQFRU1A2/PxFdn9FkxPjt46E36tHetz1u1d0qOhJRs3BROufQ4uLlmWeewcSJE695Ttu2bREWFoazZxsOjKqvr8eFCxdaNJ4lOTkZAHD06NFGixetVgutlluZE9mTRq3BmKgxOKA/wO0CSNG2lW5DeW05UlunQqPWiI5DVtLi4iUkJAQhISHXPa9v377Q6/XYs2cPkpKSAACbN2+G2Wy2FCTNkZubCwAIDw9vaVQisqFpnaZx/Aspmlk24538d3D84nFU1VdxvIsTsVlHdefOnTF8+HA89thj2LVrF3bs2IEnnngC48aNs8w0On36NOLi4rBr1y4AwLFjx5CRkYE9e/bg5MmTWLlyJR5++GHceuut6NGjh62iEtENYOFCSmeWzbgz8k7Eesfizqg7RcchK7LpKLtPP/0UcXFxGDp0KEaMGIEBAwZg8eLFltfr6upw+PBhy2wijUaD77//HnfccQfi4uLwzDPP4O6778aqVatsGZOIboLRZMR3p75DfkW+6ChEDbip3DC+3Xh8NegreLt7i45DVsTtAYjoprx+4HV8dfIrDAkbgjd6vSE6DhE5KMVsD0BEzm9szFiEeYYhKSiJ01BJMZYeW4pfL/wqOgbZCDutieimxPrEYsVtK6CW1KKjEAEAiqqKMP/QfJhhxneDv0O0d7ToSGRlLF6I6KaxcCElcVO5YXTUaBjqDCxcnBSLFyKyml/O/4JjlcdwT8w9oqOQCwvzDMOL8S+yG9OJsXghIqvI0+fhsezHoFFpMFg3GMEewaIjkYvjarrOiwN2icgqOvt1RlJQEkZGjhQdhVxUjakGiw4vQllNmegoZGNseSEiq5AkCQv7LOQmjSTMysKV+OC3D7CpeBO+GvQVW16cGIsXIrIaFi4kUkyrGMQHxGN46+EsXJwcixcisrqzl87i61NfY3L7yfB08xQdh1xEckgykkOSYZbNoqOQjbF4ISKrkmUZT/z8BI5XHkeAJoCb4ZHdsQXQ+fFvmIisSpIkjIsdh8TARHT07Sg6DrmA/eX7sapwFerMdaKjkJ2w5YWIrC4tOg13xdwlOga5iPePvI+fzv2EE5UnMKPzDNFxyA7Y8kJEVsdme7IXWZaRFJQEnYcOd0WzYHYV3FWaiGymzlyHNUVrEOIRgv6h/UXHISdmkk3cpsLBteT+zW4jIrKZz45/hrfz30ZH347oF9KP01fJZli4uBa27RKRzaRFpyGmVQxGRI6ASTaJjkNOJE+fh7FbxmJlwUrRUUgAtrwQkc34afzwzeBv2OJCVresYBlOVJ7AvH3zEO0djYTABNGRyI5YvBCRTbFwIWspri6G3qiHJEnYXLwZwOXuIq1Ki0P6Q/DX+CPcK1xwSrIHFi9EZBe/XvgVP5f9jCkdp4iOQg5q9ObRVx0zySY89ONDluc5o3LsGYkE4ZgXIrK5s5fOYkr2FCw+shj5Ffmi45CDykjIaHJgrlpSIyMhw86JSBS2vBCRzYV6hmJE5AiooIKvO5cwoBuTGpmKYI9gTNs57arXsgZkIc4vTkAqEoHFCxHZxZweczj+hW7ad6e+a/BcggQZTrVcGTUDu42IyC5YuJA13BZ2G9SSGjGtYpDePR2d/TojSBuEAE2A6GhkR1xhl4jsqqymDJ8e/xT3trmXM0PohtTU10Cr1kKSJMiyjDpzHTRqjehYdJO4wi4RKda8X+fhp3M/wWg24k/d/iQ6DjkgDzcPy58lSWLh4oLYbUREdjW+3Xj0COjBvY6o2cyyGU/vehqrClfBLJtFxyEFYMsLEdnVLUG34JZ+t3AMDDXbhjMbsP3sdvxy4RcM1A2Ev8ZfdCQSjC0vRGRXkiRZCpc8fR6mZk9Fnj5PcCpSsiFhQzCj8wxMj5vOwoUAsOWFiASpN9fjnfx3kHM+B2uL1qKLfxfRkUihtGotHm73sOgYpCAsXojIrn7fnyb7XDZ2le0CAKw/sx6jokZBlmXuT0MWRpMR7ip3djHSVVi8EJFdNbY/TbmxHOO3j7c85/40BACvHngVpZdK8WzXZxHrEys6DikIx7wQkV1xfxpqjgu1F7D+9Hr8XPYzKusrRcchhWHLCxHZVWpkKmJ9Yhu0tPyO+9PQ7wK1gfhy0Jf48eyP6B7QXXQcUhi2vBCRMBKkBl8564iuFNkqEuNix4mOQQrE4oWI7C5AE4AgbRA6+3VGevd0y/TXr09+DSfbsYRaqN5cj5JLJaJjkMKx24iI7E7nqcOq21ZZZpIMDRuKNw+9iWmdpnFmiYtbVrAMb+W9hcc7Pc7p0dQkFi9EJMSV+9H4a/3xUsJLAtOQUuScz0GtuRaeak/RUUjBWLwQkeKcqzmHEI8Q0TFIgFd7voqfzv2E5OBk0VFIwTjmhYgUZdHhRRi9aTR2ntspOgoJIEkS+of2h5uKv1tT01i8EJGiXKy7iHq5HttKt4mOQna04+wO1JvrRccgB8HSlogUZVqnaUgOScbA0IGio5Cd7C/fj6d2PYU23m2wdOBSeKg9REcihWPxQkSK4u3ujVt1t4qOQXZ0ofYCAjWB6B7QnYULNQuLFyJSrFpTLX4o+QHDWw8XHYVsaFDYICQFJaFeZrcRNQ+LFyJSJKPJiAe3P4iTlSfh7eaNAboBoiORDXm7e4uOQA6EA3aJSJE0ag0GhA5AiJZTpp3VhjMb8OuFX0XHIAckyU62FrfBYICfnx8qKirg6+srOg4R3YTq+mrIkNHKrZXoKGRleqMeaZvTUFlfiYV9FuKW4FtERyLBWnL/ZrcRESmWl5uX6AhkQynhKThsOIyeQT1FRyEHw+KFiBxCTlkOtpZuxawus7j/kRPw1/jjhfgXYDQZoZbUouOQg7HZmJeXX34Z/fr1g5eXF/z9/Zt1jSzLmDNnDsLDw+Hp6YmUlBT89ttvtopIRA6irKYMT+56Ep+f+JyL1zmZK/e4ImoumxUvRqMRY8eOxbRp05p9zeuvv4758+dj0aJF+Pnnn9GqVSsMGzYMNTU1topJRA4g2CMYD7d7GGNjxiIxMFF0HLoJOWU5eP3A69Ab9aKjkAOz+YDdJUuWYObMmdDr9dc8T5ZlRERE4JlnnsGzzz4LAKioqIBOp8OSJUswbty4Zr0fB+wSOSdZltld5ODMshkPbX8Ihw2H8UDsA5jVdZboSKQgLbl/K2aq9IkTJ1BSUoKUlBTLMT8/PyQnJyM7O7vJ62pra2EwGBo8iMj5/G/hwn1wHI9KUmFml5lICkrCpPaTRMchB6aYAbslJSUAAJ1O1+C4TqezvNaYzMxMvPTSSzbNRkTKoTfqMf/QfJyrOYf5veezNcbB3BJ8C6dF001rUcvL7NmzIUnSNR/5+fm2ytqo9PR0VFRUWB6FhYV2fX8isq+LdRex7vQ6ZJ/LRl5Fnug41Exm2Sw6AjmRFrW8PPPMM5g4ceI1z2nbtu0NBQkLCwMAlJaWIjw83HK8tLQUCQkJTV6n1Wqh1Wpv6D2JyPFEtYrCc92eQ6x3LLr6dxUdh5rhXM05TM2eikkdJmFE6xFQSYoZsUAOqkXFS0hICEJCbLNUd2xsLMLCwrBp0yZLsWIwGPDzzz+3aMYSETm/tOg00RGoBT47/hlOVZ3Ctye/xcjWI0XHISdgszEvBQUFuHDhAgoKCmAymZCbmwsAaN++Pby9L2/AFRcXh8zMTPzf//0fJEnCzJkz8be//Q0dOnRAbGwsXnzxRURERCAtLc1WMYnIwRmMBlSbqhHmGSY6CjVhaqep8Nf4o2dQT45RIquwWfEyZ84cZGVlWZ4nJl5em+GHH37A4MGDAQCHDx9GRUWF5ZznnnsOVVVVmDJlCvR6PQYMGIB169bBw8PDVjGJyIHtLtuN5/c+j7Y+bbGozyLeGBVKq9ZiQvsJomOQE+HGjETksM5Un8HYLWMR7hWO9/q+hyBtkOhI9F95+jz88+A/MavrLHTx7yI6DjkAh1znhYiopSK8IrCw70J8fuvnLFwUZlXhKuSW5+K5Pc+h5FLTy10Q3QjFrPNCRHQjegT0EB2B/qu4uhh6ox6SJGHdmXUAgNJLpThdfRrlteXw1/gj3Cv8Ot+F6PpYvBCRU5BlGd8Xf49Y71i0920vOo5LGr159FXHZMh4PPtxy/OcUTn2jEROit1GROQUPjz6IdL3piNzfyYXRBMkIyEDaknd6GtqSY2MhAw7JyJnxeKFiJzCqMhR8Nf4o09IHxYvgtwecTsGhA5o9LWsAVlIjUy1cyJyVuw2IiKnoPPUYdVtq+Dp5ik6ist678h72Fq6FQAgQYIM2fKVyJrY8kJEToOFi1j3x96Prv5d4ePug85+nZHePR2d/TojSBuEAE2A6HjkRLjOCxE5naKqIvwz759ICU/BysKVmNF5BtcasRNZllFnroO7yh2SJFmea9Qa0dFI4Vpy/2a3ERE5nfd/ex/bSrfhkP4QztWew9qitSxebOT4xeO4UHsBvYJ7AQAkSWpQqPzvcyJrYLcRETmV4upiDI8YjsTARBjNRgDA+jPrkV+Rj0P6QyiuLhac0HnojXo8vftpTP95OraWbBUdh1wIW16IyKk0ttZIubEc47ePtzznWiPW4aH2QDf/bgCA+MB4wWnIlbDlhYicCtcasR8PtQf+lvg3fNj/Q/hr/EXHIRfC4oWInEpqZCqyBmQ1+to7ye9wrRErOH7xuOXPkiRxXymyOxYvROS0JEgNnnuqOZX6Zv1Y+iPGbR2Ht/Le4mKAJAzHvBCR0wnQBCBIGwSdhw5josfgm5Pf4LzxPEI8QkRHc3hHLx6FGWZU1lVeVRwS2QvXeSEip2Q0GZtca2Td6XUYEDoA3u7eglM6pp3ndiIpKAnuKnfRUciJtOT+zW4jInJKGrUGknS5ZeDKtUa+OPEFXvjlBTy16ykYTUaRER1Gvbm+QRdRn5A+LFxIKBYvRORSEgIT4OPug97BvXkDbgZZlvHy/pfxp5w/obq+WnQcIgAc80JELibOLw5fDfqK41+a6WTlSaw/vR715nrk6fMsK+kSicTihYhczpWFi0k24euTX+Ou6Lu4jH0jYn1i8V7f93Ds4jEWLqQYLF6IyKW9uv9VLCtYhr3n9+K1pNcs42ToD90DuqN7QHfRMYgsOOaFiFxaSngKvNReuCPiDhYu/3Wh9gL+lPMnlF4qFR2FqFFseSEil5YckoyVQ1dyefsrvLLvFWwp3YIKYwUW91ssOg7RVdjyQkQu78rCpbKuEh8f+9ilV4+d1XUWEgIT8HyP50VHIWoUW16IiP7LLJsxY9cM7Cvfh/LacjzV5SnRkYSI8IrA+33fZzcaKRZbXoiI/kslqTA2ZiwCNAEY1nqY6Dh2tePsDuRX5Fues3AhJWPLCxHRFVIjUzFQN9Cltg44ajiK2Xtmwyyb8X6/99HFv4voSETXxJYXIqL/cWXhUlRVhKXHlgpMYxt5+jxMzZ6KPH0ewjzDkBiYiB4BPdDRt6PoaETXxZYXIqImVNZVYkr2FJytOQutWouxbcaKjmQ1a4rWIOd8DtYWrcWz3Z7FP2/5J2pMNXBT8bZAysd/pURETfB298b9sfdjVeEqDAkbIjrOTSuuLobeqIckSdhwZgMAYP2Z9RgVNQqyLMNf4+9S3WXkuCRZlmXRIaypJVtqExE1R42pBh5qD9Exblqv1ddf3j9nVI4dkhBdrSX3b455ISK6jisLl91lu7Hs1DKBaW5cRkIG1JK60dfUkhoZCRl2TkR0Y1i8EBE108nKk5i5ayZe3v8ydpzd0WDQq5L9cv4XPPHzE4j2jkbWgKxGz8kakIXUyFQ7JyO6MSxeiIiaKaZVDO6KuQsDQweiV1CvBoNelWx54XLsPLcTS44usRyTIDX4SuRIOGCXiKiZJEnC/W3uxwXjBZyoPGEZ9LruzLoGg17DvcKFZTTLZmwp2YKEwAQEagMBAJPaT4JWpcXD7R6Gu8odQdog6Dx0GBM9BisKVqC0phQBmgBhmYlaigN2iYhaQOmDXl/Y+wLWnVmHSe0nYXrc9EbPMZqMcFe5Q5IkyLKMOnMdNGqNnZMSNcQBu0RENtKcQa8nK0/itf2vYee5nTbPYzQZUW+utzxPiUiBt5s3Wrm1avIajVpjWf5fkiQWLuRwWLwQEbVAamTqdQe9bi3Ziq9PfY3Pjn/W4PXzteetmmVFwQqk/ZBm6b4CgFt1t2L10NWY2H6iVd+LSElYvBAR3aCmBr0mBCbg7pi7kdr6j9k7NaYa3LnpTtz9w90ory1v1ve/3mym87XncbbmLFYXrbYcU0kqLjRHTo8DdomIWihAE3DNQa/xgfGID4xvcM0RwxHUy/Uwmo3w1/hbjq8uXA2j2YhBYYMQpA1qcM2Vs5nCPcPx+YnPcVv4bYjziwMA3NvmXgRqAzGi9Qjb/sBECsMBu0REN+BGBr1W1lWiqLrIUnwAwNgtY3Gi8gQye2bi9ojbUVxdjHM156CSVHh699MoN5YjQBOAbv7dsP3sdvQN6Yu3k9+29Y9HZHctuX+z5YWI6AZcWag0d9Crt7t3g8LFJJswrPUwZJ/NRp+QPgCA0ZtHX3VdubEc289uBwBkn8u+2ehEDo9jXoiIBFFLajza4VH8u/+/4ePuA+DybKamFo7jEv5El7HlhYhIQVIjUxHtHY0JP0646rWsAVkNWm6IXBVbXoiIFOb3dWS4hD9R49jyQkSkMNebzUTk6jjbiIhIgbiEP7kazjYiInJwNzKbichVcMwLERERORSbFS8vv/wy+vXrBy8vL/j7+zfrmokTJ0KSpAaP4cOH2yoiEREROSCbdRsZjUaMHTsWffv2xb///e9mXzd8+HB89NFHludardYW8YiIiMhB2ax4eemllwAAS5YsadF1Wq0WYWFhNkhEREREzkBxY162bNmC0NBQdOrUCdOmTcP589feQr62thYGg6HBg4iIiJyXooqX4cOH4+OPP8amTZvw2muvYevWrUhNTYXJZGrymszMTPj5+VkeUVFRdkxMRERE9tai4mX27NlXDaj930d+fv4Nhxk3bhzuvPNOdO/eHWlpaVi9ejV2796NLVu2NHlNeno6KioqLI/CwsIbfn8iIiJSvhaNeXnmmWcwceLEa57Ttm3bm8lz1fcKDg7G0aNHMXTo0EbP0Wq1HNRLRETkQlpUvISEhCAkJMRWWa5SVFSE8+fPIzw83G7vSURERMpmszEvBQUFyM3NRUFBAUwmE3Jzc5Gbm4vKykrLOXFxcVi2bBkAoLKyEn/605+wc+dOnDx5Eps2bcKYMWPQvn17DBs2zFYxiYiIyMHYbKr0nDlzkJWVZXmemJgIAPjhhx8wePBgAMDhw4dRUVEBAFCr1di3bx+ysrKg1+sRERGBO+64AxkZGS3qFvp9qybOOiIiInIcv9+3m7PlotNtzFhUVMQZR0RERA6qsLAQkZGR1zzH6YoXs9mMM2fOwMfHB5IkWfV7GwwGREVFobCwkDtWN4KfT9P42VwbP59r4+dzbfx8muZIn40sy7h48SIiIiKgUl17VIvT7SqtUqmuW7HdLF9fX8X/IxCJn0/T+NlcGz+fa+Pnc238fJrmKJ+Nn59fs85T1CJ1RERERNfD4oWIiIgcCouXFtBqtZg7dy4XxWsCP5+m8bO5Nn4+18bP59r4+TTNWT8bpxuwS0RERM6NLS9ERETkUFi8EBERkUNh8UJEREQOhcULERERORQWL0RERORQWLw004IFC9CmTRt4eHggOTkZu3btEh1JMbZt24bRo0cjIiICkiRh+fLloiMpRmZmJm655Rb4+PggNDQUaWlpOHz4sOhYirFw4UL06NHDsvpn37598Z///Ed0LEV69dVXIUkSZs6cKTqKIvz1r3+FJEkNHnFxcaJjKcrp06cxfvx4BAUFwdPTE927d0dOTo7oWFbB4qUZvvzyS8yaNQtz587F3r17ER8fj2HDhuHs2bOioylCVVUV4uPjsWDBAtFRFGfr1q2YPn06du7ciY0bN6Kurg533HEHqqqqREdThMjISLz66qvYs2cPcnJycNttt2HMmDE4ePCg6GiKsnv3brz33nvo0aOH6CiK0rVrVxQXF1seP/74o+hIilFeXo7+/fvD3d0d//nPf5CXl4d//OMfCAgIEB3NOmS6rt69e8vTp0+3PDeZTHJERIScmZkpMJUyAZCXLVsmOoZinT17VgYgb926VXQUxQoICJA/+OAD0TEU4+LFi3KHDh3kjRs3yoMGDZKfeuop0ZEUYe7cuXJ8fLzoGIr15z//WR4wYIDoGDbDlpfrMBqN2LNnD1JSUizHVCoVUlJSkJ2dLTAZOaKKigoAQGBgoOAkymMymfDFF1+gqqoKffv2FR1HMaZPn46RI0c2+D+ILvvtt98QERGBtm3b4sEHH0RBQYHoSIqxcuVK9OrVC2PHjkVoaCgSExPx/vvvi45lNSxerqOsrAwmkwk6na7BcZ1Oh5KSEkGpyBGZzWbMnDkT/fv3R7du3UTHUYz9+/fD29sbWq0WU6dOxbJly9ClSxfRsRThiy++wN69e5GZmSk6iuIkJydjyZIlWLduHRYuXIgTJ05g4MCBuHjxouhoinD8+HEsXLgQHTp0wPr16zFt2jTMmDEDWVlZoqNZhZvoAESuYvr06Thw4AD75f9Hp06dkJubi4qKCnzzzTeYMGECtm7d6vIFTGFhIZ566ils3LgRHh4eouMoTmpqquXPPXr0QHJyMmJiYvDVV1/hkUceEZhMGcxmM3r16oVXXnkFAJCYmIgDBw5g0aJFmDBhguB0N48tL9cRHBwMtVqN0tLSBsdLS0sRFhYmKBU5mieeeAKrV6/GDz/8gMjISNFxFEWj0aB9+/ZISkpCZmYm4uPj8a9//Ut0LOH27NmDs2fPomfPnnBzc4Obmxu2bt2K+fPnw83NDSaTSXRERfH390fHjh1x9OhR0VEUITw8/KpfADp37uw0XWssXq5Do9EgKSkJmzZtshwzm83YtGkT++XpumRZxhNPPIFly5Zh8+bNiI2NFR1J8cxmM2pra0XHEG7o0KHYv38/cnNzLY9evXrhwQcfRG5uLtRqteiIilJZWYljx44hPDxcdBRF6N+//1XLMhw5cgQxMTGCElkXu42aYdasWZgwYQJ69eqF3r1746233kJVVRUmTZokOpoiVFZWNvht58SJE8jNzUVgYCCio6MFJhNv+vTp+Oyzz7BixQr4+PhYxkn5+fnB09NTcDrx0tPTkZqaiujoaFy8eBGfffYZtmzZgvXr14uOJpyPj89VY6NatWqFoKAgjpkC8Oyzz2L06NGIiYnBmTNnMHfuXKjVatx///2ioynC008/jX79+uGVV17Bvffei127dmHx4sVYvHix6GjWIXq6k6N4++235ejoaFmj0ci9e/eWd+7cKTqSYvzwww8ygKseEyZMEB1NuMY+FwDyRx99JDqaIkyePFmOiYmRNRqNHBISIg8dOlTesGGD6FiKxanSf7jvvvvk8PBwWaPRyK1bt5bvu+8++ejRo6JjKcqqVavkbt26yVqtVo6Li5MXL14sOpLVSLIsy4LqJiIiIqIW45gXIiIicigsXoiIiMihsHghIiIih8LihYiIiBwKixciIiJyKCxeiIiIyKGweCEiIiKHwuKFiIiIHAqLFyIiInIoLF6IiIjIobB4ISIiIofy/wF3Pg+ap9R/sQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, y1 + y2, color=(0.2, 0.7, 0.2), ls=':', marker='*', ms=6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "0eeb6cdb-6a43-4232-aa0a-ef331d98f4cf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1ca05929a50>]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, y1 + 2*y2, color='orange', lw=3, alpha=0.3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "14f31c49-9a96-4d87-8fc0-834d52c4a632",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1ca059966b0>]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, 2*y1 - y2, 'bo--')  # 参数连用， b是蓝色， o是maker形状是个点，--表示ls为虚线"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8042106f-4c40-4a74-b62e-61298fa9fc3c",
   "metadata": {},
   "source": [
    "## （2）更多属性设置"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "efa20229-fd29-4522-8020-f3b3c00520ad",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 定义函数f，输入参数为x\n",
    "def f(x):\n",
    "    # 返回计算结果\n",
    "    return np.exp(-x) * np.cos(2 * np.pi * x)\n",
    "\n",
    "# 使用linspace方法生成从0到5的50个均匀分布的点\n",
    "x = np.linspace(0, 5, num=50)\n",
    "\n",
    "# 设置绘图窗口的大小\n",
    "plt.figure(figsize=(9, 6))\n",
    "\n",
    "# 绘制曲线图，横坐标为x，纵坐标为f(x)\n",
    "plt.plot(x, f(x), \n",
    "    color='purple',  # 设置线条颜色为紫色\n",
    "    marker='o',      # 设置数据点的标记样式为圆圈\n",
    "    ls='--',         # 设置线条样式为虚线\n",
    "    lw=2,            # 设置线条宽度为2\n",
    "    alpha=0.6,       # 设置线条透明度为0.6\n",
    "    markerfacecolor='red',   # 设置数据点填充颜色为红色\n",
    "    markersize=10,           # 设置数据点大小为10\n",
    "    markeredgecolor='green',  # 设置数据点边缘颜色为绿色\n",
    "    markeredgewidth=3        # 设置数据点边缘宽度为3\n",
    ")   \n",
    "\n",
    "# 设置x,y轴刻度字体大小为18\n",
    "plt.xticks(size=18)\n",
    "plt.yticks(size=18)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3930faf3-0d5e-4f68-9c88-ba98aae7b66f",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
